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Find three consecutive integers such that the sum of the first and the third is 92

User TungstenX
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Answer: 45, 46, and 47

Explanation:

We will create equations to help us solve. Let x be the first integer. Consecutive integers are integers that are one apart (ex. 1, 2, 3 or -391, -390, -389, etc).

If three consecutive integers can be written as "(x), (x + 1), (x + 2)" then we can create an equation adding the first and the third together.

(x) + (x + 2) = 92

Now, we will combine like terms.

2x + 2 = 92

Then, subtract 2 from both sides of the equation.

2x = 90

Lastly, divide both sides of the equation by 2.

x = 45

This gives us the first integer. Now, we will find all three.

45 45 + 1 = 46 45 + 2 = 47

Lastly, we will check that the first and third add to 92.

45 + 47 = 92 ✓

User Nicero
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